We study continuity properties for commutators of Calderón-Zygmund and fractional integral operators between generalized Zygmund spaces of L log L type, in the variable exponent setting with different weights. In order to ...

Este trabajo está centrado en estudiar propiedades de continuidad de distintos operadores del Análisis Armónico en el contexto de los espacios de Zygmund de tipo L log L generalizados cuando interviene un par de pesos. ...

The purpose of this work is to present, in a detailed way, one of the main topics of Harmonic Analysis: the singular integral operators or, in its general form, the Calderón-Zygmund operators. We did here, for the most ...

A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller than the m-fold product of the Hardy-Littlewood maximal function is studied. The operator is used to obtain a precise control ...

Iterated commutators of multilinear Calderón-Zygmund operators and pointwise multiplication with functions in BMO are studied in products of Lebesgue spaces. Both strong type and weak end-point estimates are obtained, ...

Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω ...